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Finding the Fourth Proportional to 485.63, 670.16 and 264.57

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Solution

The fourth proportional to 485.63, 670.16 and 264.57 is: 365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.63 : 670.16 = 264.57 : x
  2. Step 2: Convert to fraction form
    485.63/670.16 = 264.57/x
  3. Step 3: Cross multiply
    485.63x = 670.16 × 264.57
  4. Step 4: Simplify right side
    485.63x = 177,306.55
  5. Step 5: Solve for x
    x = 177,306.55/485.63
  6. Step 6: Final answer
    x = 365.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.